Strongly 2T - Clean Rings

An element a in a ring R is referred to be strongly 2T-clean (2 STC element for short), a = -+u, where , are idempotent elements and u is a unit elements of order three. A ring R is considered to be 2 - STC ring if every member of R are 2 - STC ring. This paper presents the idea of an strongly 2T-clean ring and lists some of its fundamental characteristics. Further more we consider 2 - STC ring with 3 is nilpotent, we demonstrate that this ring is equivalent to strongly 2- nil clean ring and the Jacobson radical and the right singular ideal of such ring with 3 is nilpotent is a nil ideal. Finally we exhibit that if R is an 2 - STC ring and if 2 is nilpotent, then a^4-a is nilpotent for every a in R. We domonstrale that if R is 2 - STC ring, then aR such that a = -h+u, is idempotent, h is a unit of order two and u is a unit of order three.